144861120 has 168 divisors, whose sum is σ = 502828560. Its totient is φ = 38277120.

The previous prime is 144861113. The next prime is 144861151. The reversal of 144861120 is 21168441.

It is a happy number.

144861120 is a `hidden beast` number, since 1 + 4 + 48 + 611 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515380 + ... + 515660.

Almost surely, 2^144861120 is an apocalyptic number.

144861120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251414280).

144861120 is an abundant number, since it is smaller than the sum of its proper divisors (357967440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144861120 is a wasteful number, since it uses less digits than its factorization.

144861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 144861120 is about 12035.8265191885. The cubic root of 144861120 is about 525.1910053300.

The spelling of 144861120 in words is "one hundred forty-four million, eight hundred sixty-one thousand, one hundred twenty".